Question

How do you multiply `(x-2)(3x^2-5x+4)`?

Answer 1

`3x^3-11x^2+14x-8`

Explanation:

You take the numbers in the first bracket, in this case, `x` and `-2`, and multiply both of those numbers with every single number in the other bracket.

`3x^3-5x^2+4x-6x^2+10x-8`

Answer 2

`color(green)(3x^3-11x^2+14x-8`

Explanation:

`(x-2)(3x^2-5x+4)`

`color(white)(aaaaaaaaaaaaa)` `3x^2-5x+4`
`color(white)(aaaaaaaaaaa)` `xx underline(x-2)`
`color(white)(aaaaaaaaaaaaa)` `3x^3-5x^2+4x`
`color(white)(aaaaaaaaaaaaaaaa)` `-6x^2+10x-8`
`color(white)(aaaaaaaaaaaaa)` `overline(3x^3-11x^2+14x-8)`

`color(white)(aaaaaaaaaaaaa)` `color(green)(3x^3-11x^2+14x-8`